Question

If the altitude of the sum is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is 

विकल्प

• \[10\sqrt{3}\]

•  15 m

• \[\frac{30}{\sqrt{3}} m\]

• \[15\sqrt{2} m\]

Answer 1

Let h be the height of vertical tower AB 

Given that: altitude of sun is 60° and shadow of length `BC=30`meters.

Here, we have to find the height of tower.

So we use trigonometric ratios. 

In a triangle ABC, 

`⇒ tan C=(AB)/(BC)` 

`⇒ tan 60°=(AB)/(BC)` 

`⇒sqrt3=h/30`

`⇒h=30sqrt3`